Diffracted wavefield by an arbitrary aperture from Maggi-Rubinowicz transformation: Fresnel approximation |
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Authors: | S. Ganci |
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Affiliation: | Studio di Catalogazione e Conservazione Strumenti Scientifici, Via Francolano, 145, 16030 Casarza Ligure GE, Italy |
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Abstract: | The major purpose of this paper is to establish a general and explicit formula for calculating diffracted wavefield from Maggi-Rubinowicz transformation under Fresnel approximation. It is demonstrated that solution expression, always involves Fresnel integrals. The 2-D integration (Rayleigh-Sommerfeld or Helmholtz-Kirchhoff integral formulas) is so reduced to a 1-D integration over the rim of the aperture, with advantage of this approach in numerical evaluations. |
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Keywords: | Fresnel diffraction Maggi-Rubinowicz transformation Boundary diffraction wave theory Scalar theory of diffraction |
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